Previously, temporal simulations [1]}, [2]}, [3]} have shown that the mean and the turbulence can evolve differently. Indeed, the effect of buoyancy is `felt' very differently by the large and the small scales in the flow. The general trend is that, in the late wake, the turbulence occupies a smaller and smaller vertical fraction of the mean defect as time passes [4]}. Instead, the finding here for the spheroid wake is the combined effect of having a wake in saturated-lee-wave state and initial off-center peaks of TKE, established by the TBL separation. These characteristics of the flow have not been not captured in temporal simulations since they have not accounted for the wake generator and the steady lee waves.
